Mean action time for diffusive processes.
Mean field limit for the one dimensional Vlasov-Poisson equation
We consider systems of particles in dimension one, driven by pair Coulombian or gravitational interactions. When the number of particles goes to infinity in the so called mean field scaling, we formally expect convergence towards the Vlasov-Poisson equation. Actually a rigorous proof of that convergence was given by Trocheris in [Tro86]. Here we shall give a simpler proof of this result, and explain why it implies the so-called “Propagation of molecular chaos”. More precisely, both results will...
Measure attractors for stochastic Navier-Stokes equations.
Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer
Measure-valued solutions and well-posedness of multi-dimensional conservation laws in a bounded domain.
Mechanical analogy for the wave-particle: Helix on a vortex filament.
Mechanisms of Cell Motion in Confined Geometries
We present a simple mechanism of cell motility in a confined geometry, inspired by recent motility assays in microfabricated channels. This mechanism relies mainly on the coupling of actin polymerisation at the cell membrane to geometric confinement. We first show analytically using a minimal model of polymerising viscoelastic gel confined in a narrow channel that spontaneous motion occurs due to polymerisation alone. Interestingly, this mechanism...
Medical image – based computational model of pulsatile flow in saccular aneurisms
Saccular aneurisms, swelling of a blood vessel, are investigated in order (i) to estimate the development risk of the wall lesion, before and after intravascular treatment, assuming that the pressure is the major factor, and (ii) to better plan medical interventions. Numerical simulations, using the finite element method, are performed in three-dimensional aneurisms. Computational meshes are derived from medical imaging data to take into account both between-subject and within-subject anatomical...
Medical image – based computational model of pulsatile flow in saccular aneurisms
Saccular aneurisms, swelling of a blood vessel, are investigated in order (i) to estimate the development risk of the wall lesion, before and after intravascular treatment, assuming that the pressure is the major factor, and (ii) to better plan medical interventions. Numerical simulations, using the finite element method, are performed in three-dimensional aneurisms. Computational meshes are derived from medical imaging data to take into account both between-subject and within-subject anatomical...
Mémoire sur l'influence des frottements dans les mouvements réguliers des fluides.
Method of interior boundaries in a mixed problem of acoustic scattering.
Method of straight lines for a Bingham problem.
Method of straight lines for a Bingham problem as a model for the flow of waxy crude oils.
Méthodes d'éléments finis quasilinéaires en déplacement pour l'étude de milieux incompressibles
Méthodes multipas pour des équations paraboliques non linéaires.
Méthodes numériques pour les équations de Navier-Stokes instationnaires des fluides visqueux incompressibles
Metodi cinetici nello studio qualitativo di problemi di evoluzione nonlineari con convezione e diffusione
Mhd Couette flow with suction at the stationary plate
MHD flow of an elastico-viscous fluid under periodic body acceleration.
Microscale Complexity in the Ocean: Turbulence, Intermittency and Plankton Life
This contribution reviews the nonlinear stochastic properties of turbulent velocity and passive scalar intermittent fluctuations in Eulerian and Lagrangian turbulence. These properties are illustrated with original data sets of (i) velocity fluctuations collected in the field and in the laboratory, and (ii) temperature, salinity and in vivo fluorescence (a proxy of phytoplankton biomass, i.e. unicelled vegetals passively advected by turbulence) sampled from highly turbulent coastal waters. The strength...